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BIO 2, Lecture 11 REPRODUCTION III: HEREDITY, MENDEL’S LAWS, AND NON-MENDELIAN INHERITANCE • What genetic principles govern the passing of traits from parents to offspring? • The “blending” hypothesis is the idea that genetic material from the two parents blends together (like blue and yellow paint blend to make green) • The “particulate” hypothesis is the idea that parents pass on discrete heritable units (genes) • Gregor Mendel (1822-1884) was the first to demonstrate that genetic traits are inherited in a particulate fashion. • Although chromosomes and genes had not yet been discovered, Mendel uncovered the two basic principles governing their heredity by breeding garden peas in carefully planned experiments • These two basic principles became known as Mendel’s Laws • Mendel Laws do nothing more than describe the behavior of chromosomes (and the genes they carry) during meiosis. • If you understand meiosis, you can easily understand Mendel’s Laws • Advantages of pea plants for genetic study: – There are many varieties with distinct heritable features (such as flower color) – Each feature has alternative traits (such as purple or white flowers) – Mating of plants can be controlled – Each pea plant has sperm-producing organs (stamens) and egg-producing organs (carpels) – Cross-pollination (fertilization between different plants) can be achieved by dusting one plant with pollen from another TECHNIQUE 1 2 Parental (P) generation Stamens Carpel 3 4 RESULTS 5 First filial (F1) generation offspring • Mendel chose to track only those characters that varied in an either-or manner (e.g. either purple or white flowers) • He also used varieties that were truebreeding (plants that produce offspring of the same variety when they selfpollinate) • In a typical experiment, Mendel mated two contrasting, true-breeding varieties, a process called hybridization • The true-breeding parents are the P generation • The hybrid offspring of the P generation are called the F1 generation • When F1 individuals self-pollinate, the F2 generation is produced • When Mendel crossed true-breeding white and purple flowered pea plants, all of the F1 hybrids were purple • When Mendel crossed the F1 hybrids, many of the F2 plants had purple flowers, but some had white • Mendel discovered a ratio of about three to one purple to white flowers in the F2 generation EXPERIMENT P Generation (true-breeding parents) F1 Generation (hybrids) Purple flowers White flowers All plants had purple flowers F2 Generation 705 purple-flowered 224 white-flowered plants plants • Mendel called the purple flower color a dominant trait and the white flower color a recessive trait • Mendel observed the same pattern of inheritance in six other pea plant characters, each represented by two traits • What Mendel called a “heritable factor” is what we now call a gene • What Mendel called a “trait” is what we now call an allele GENE Dominant Allele Recessive Allele • Mendel developed a hypothesis to explain the 3:1 inheritance pattern he observed in F2 offspring • Four related concepts make up this model • These concepts can be directly related to the behavior of chromosomes and the genes they carry during meiosis • The first concept is that alternative versions of genes account for variations in inherited characters • For example, the gene for flower color in pea plants exists in two versions, one for purple flowers and the other for white flowers • These alternative versions of a gene are now called alleles • Each gene resides at a specific locus on a specific chromosome Allele for purple flowers (P) Locus for flower-color gene Homologous pair of chromosomes (not sister chromatids!) Allele for white flowers (p) • The second concept is that for each character an organism inherits two alleles, one from each parent • The two alleles at a locus on a chromosome may be identical, as in the true-breeding plants of Mendel’s P generation (PP) or (pp) • Alternatively, the two alleles at a locus may differ, as in the F1 hybrids (Pp) • The third concept is that if the two alleles at a locus differ, then one (the dominant allele) determines the organism’s appearance, and the other (the recessive allele) has no noticeable effect on appearance • In the flower-color example, the F1 plants had purple flowers because the allele for that trait is dominant • The fourth concept, now known as Mendel’s First Law, or the Law of Segregation, states that the two alleles for a heritable character separate (segregate) during gamete formation and end up in different gametes • Thus, an egg or a sperm gets only one of the two alleles that are present in the somatic cells of an organism • This segregation of alleles corresponds to the distribution of homologous chromosomes to different gametes in meiosis (i.e. each gamete is haploid) • Mendel’s segregation model accounts for the 3:1 ratio he observed in the F2 generation of his numerous crosses • The possible combinations of sperm and egg can be shown using a Punnett square, a diagram for predicting the results of a genetic cross between individuals of known genetic makeup • A capital letter represents a dominant allele, and a lowercase letter represents a recessive allele P Generation Purple flowers White flowers Appearance: Genetic makeup: PP pp Gametes: P p P Generation Purple flowers White flowers Appearance: Genetic makeup: PP pp Gametes: p P F1 Generation Appearance: Genetic makeup: Gametes: Purple flowers Pp 1/ 2 P 1/ 2 p P Generation Purple flowers White flowers Appearance: Genetic makeup: PP pp Gametes: p P F1 Generation Appearance: Genetic makeup: Gametes: Purple flowers Pp 1/ 2 1/ 2 P Sperm F2 Generation P p PP Pp Pp pp P Eggs p 3 1 p • An organism with two identical alleles for a character is said to be homozygous for the gene controlling that character • An organism that has two different alleles for a gene is said to be heterozygous for the gene controlling that character • Unlike homozygotes, heterozygotes are not true-breeding • Because of the different effects of dominant and recessive alleles, an organism’s traits do not always reveal its genetic composition • Therefore, we distinguish between an organism’s phenotype, or physical appearance, and its genotype, or genetic makeup • In the example of flower color in pea plants, PP and Pp plants have the same phenotype (purple) but different genotypes 3 Phenotype Genotype Purple PP (homozygous) Purple Pp (heterozygous) 1 2 1 Purple Pp (heterozygous) White pp (homozygous) Ratio 3:1 Ratio 1:2:1 1 • How can we tell the genotype of an individual with the dominant phenotype? • Such an individual must have one dominant allele, but the individual could be either homozygous dominant or heterozygous • The answer is to carry out a testcross: breeding the mystery individual with a homozygous recessive individual • If any offspring display the recessive phenotype, the mystery parent must be heterozygous TECHNIQUE Dominant phenotype, Recessive phenotype, unknown genotype: known genotype: PP or Pp? pp Predictions If PP Sperm p p P Pp Eggs If Pp Sperm p p or P Pp Eggs P Pp Pp pp pp p Pp Pp RESULTS or All offspring purple 1/2 offspring purple and offspring white 1/2 • Mendel derived the law of segregation by following a single character • The F1 offspring produced in this cross were monohybrids, individuals that are heterozygous for one character • A cross between such heterozygotes is called a monohybrid cross • Mendel identified his second law of inheritance by following two characters through a cross at the same time • Crossing two true-breeding parents differing in two characters produces dihybrids in the F1 generation, heterozygous for both characters • A dihybrid cross, a cross between F1 dihybrids, can determine whether two characters are transmitted to offspring as a package or independently EXPERIMENT P Generation YYRR yyrr Gametes YR F1 Generation YyRr Hypothesis of dependent assortment Predictions Hypothesis of independent assortment Sperm or Predicted offspring of F2 generation 1/ 2 yr Sperm 1/ YR 1/ 2 2 yr 1/ 4 1/ 4 Yr 1/ 4 yR 1/4 yr YR YYRR YYRr YyRR YyRr YYRr YYrr YyRr Yyrr YyRR YyRr yyRR yyRr YyRr Yyrr yyRr yyrr YR YYRR Eggs 1/ 2 1/ 4 YyRr Yr Eggs yr YyRr 3/ 4 1/ 4 yyrr yR 1/ 4 Phenotypic ratio 3:1 1/ 4 yr 9/ 16 108 3/ 16 3/ 16 1/ 16 Phenotypic ratio 9:3:3:1 RESULTS 315 YR 1/ 4 101 32 Phenotypic ratio approximately 9:3:3:1 • Using a dihybrid cross, Mendel developed the his Second Law, the Law of Independent Assortment • The Law of Independent Assortment states that each pair of alleles segregates independently of each other pair of alleles during gamete formation • Strictly speaking, this law applies only to genes on different, non-homologous chromosomes • Genes located near each other on the same chromosome tend to be inherited together • Mendel’s Law of Independent Assortment reflects the behavior of homologous pairs of chromosomes during meiosis • Homologous pairs line up at the metaphase plate independently of all other homologous pairs • Therefore, if a diploid cell is heterozygous for two genes located on different chromosomes, the line-up could place both dominant alleles on the same size of the plate or on opposite sides of the plate Possibility 1 a a b A A B B b Possibility 2 a a A A Two equally probable arrangements of B chromosomes at B metaphase I a a A b b A a a B B B B b b A A b b Metaphase II a a A A a a A A b b B B B B b b Combination 1 Combination 2 Daughter cells Combination 3 Combination 4 • Mendel’s laws of segregation and independent assortment reflect the rules of probability • When tossing a coin, the outcome of one toss has no impact on the outcome of the next toss • In the same way, the alleles of one gene segregate into gametes independently of another gene’s alleles • The multiplication rule states that the probability that two or more independent events will occur together is the product of their individual probabilities • Probability in an F1 monohybrid cross can be determined using the multiplication rule • Segregation in a heterozygous plant is like flipping a coin: Each gamete has a chance of carrying the dominant allele and a chance of carrying the recessive allele Rr Segregation of alleles into eggs Rr Segregation of alleles into sperm Sperm 1/ 2 1/ 2 R R R Eggs 1/ 2 r R R r 1/ 4 1/ 4 r r 1/ 2 r R r 1/ 4 1/ 4 • The rule of addition states that the probability that any one of two or more exclusive events will occur is calculated by adding together their individual probabilities • The rule of addition can be used to figure out the probability that an F2 plant from a monohybrid cross will be heterozygous rather than homozygous • We can apply the multiplication and addition rules to predict the outcome of crosses involving multiple characters • A dihybrid or other multi-character cross is equivalent to two or more independent monohybrid crosses occurring simultaneously • In calculating the chances for various genotypes, each character is considered separately, and then the individual probabilities are multiplied together • The relationship between genotype and phenotype is rarely as simple as in the pea plant characters Mendel studied • Many heritable characters are not determined by only one gene with two alleles • However, the basic principles of segregation and independent assortment apply even to more complex patterns of inheritance • Inheritance of characters by a single gene may deviate from simple Mendelian patterns in the following situations: – When alleles are not completely dominant or recessive – When a gene has more than two alleles – When a gene produces multiple phenotypes • Complete dominance occurs when phenotypes of the heterozygote and dominant homozygote are identical • In incomplete dominance, the phenotype of F1 hybrids is somewhere between the phenotypes of the two parental varieties • In codominance, two dominant alleles affect the phenotype in separate, distinguishable ways P Generation Red CRCR Complete dominance, incomplete dominance, or codominance? White CWCW Gametes CR CW Pink CRCW F1 Generation Gametes 1/2 CR 1/ 2 CW Sperm 1/ 2 CR 1/ 2 CW F2 Generation 1/ 2 CR Eggs 1/ 2 CRCR CRCW CRCW CWCW CW • Most genes exist in populations in more than two allelic forms (multiple alleles) • For example, the four phenotypes of the ABO blood group in humans are determined by three alleles for the enzyme (I) that attaches A or B carbohydrates to red blood cells: IA, IB, and i. • The enzyme encoded by the IA allele adds the A carbohydrate, whereas the enzyme encoded by the IB allele adds the B carbohydrate; the enzyme encoded by the i allele adds neither Allele IA IB Carbohydrate A B none i (a) The three alleles for the ABO blood groups and their associated carbohydrates Genotype Red blood cell appearance Phenotype (blood group) IAIA or IA i A IBIB or IB i B IAIB AB ii O (b) Blood group genotypes and phenotypes • Most genes have multiple phenotypic effects, a property called pleiotropy • For example, pleiotropic alleles are responsible for the multiple symptoms of certain hereditary diseases, such as cystic fibrosis and sickle-cell disease • In addition, some traits may be determined by two or more genes (multigenic traits) • In epistasis, a gene at one locus alters the phenotypic expression of a gene at a second locus • For example, in mice and many other mammals, coat color depends on two genes • One gene determines the pigment color (with alleles B for black and b for brown) • The other gene (with alleles C for color and c for no color) determines whether the pigment will be deposited in the hair BbCc Sperm 1/ Eggs 1/ 1/ 1/ 1/ 4 BC 1/ 4 bC BbCc 1/ 4 Bc 1/ 4 bc 4BC BBCC BbCC BBCc BbCc BbCC bbCC BbCc bbCc BBCc BbCc BBcc Bbcc BbCc bbCc Bbcc bbcc 4 bC 4 Bc 4 bc 9 : 3 : 4 • The more genes control a trait, the more complicated the inheritance becomes • Skin color in humans is an example of a trait that is under the control of many genes (at least 8) • This type of inheritance usually results in a bell curve distribution of phenotypes in the population AaBbCc Sperm 1/ Eggs 1/ 8 1/ 8 1/ 8 1/ 8 1/ 1/ 8 1/ 1/ 8 8 1/ 8 1/ 64 15/ 8 1/ 1/ 8 8 8 1/ 8 1/ 8 1/ 8 AaBbCc 8 1/ Phenotypes: 64 Number of dark-skin alleles: 0 6/ 1 64 15/ 64 2 20/ 3 64 4 6/ 64 5 1/ 64 6 • Another departure from Mendelian genetics arises when the phenotype for a character depends on environment as well as genotype • The norm of reaction is the phenotypic range of a genotype influenced by the environment • For example, hydrangea flowers of the same genotype range from blue-violet to pink, depending on soil acidity • Norms of reaction are generally broadest for polygenic characters • Such characters are called multifactorial because genetic and environmental factors collectively influence phenotype • For multifactorial traits, an organism’s phenotype reflects its overall genotype and unique environmental history Copyright © 2008 Pearson Education Inc., publishing as Pearson Benjamin Cummings • Humans are not good subjects for genetic research – Generation time is too long – – Parents produce relatively few offspring Breeding experiments are unacceptable • However, basic Mendelian genetics endures as the foundation of human genetics, just as for other eukaryotic organisms • Pedigrees can be used to track traits through families and make predictions about future offspring • We can use the multiplication and addition rules to predict the probability of specific phenotypes Key Male Female Affected male Affected female Mating Offspring, in birth order (first-born on left) 1st generation (grandparents) 2nd generation (parents, aunts, and uncles) Ww ww ww Ww ww ww Ww Ww Ww ww 3rd generation (two sisters) WW or Ww Widow’s peak ww No widow’s peak (a) Is a widow’s peak a dominant or recessive trait? Parents Normal Aa Normal Aa Sperm A a A AA Normal Aa Normal (carrier) a Aa Normal (carrier) aa Albino Eggs • If a recessive allele that causes a disease is rare, then the chance of two carriers meeting and mating is low • Consanguineous matings (i.e., matings between close relatives) increase the chance of mating between two carriers of the same rare allele • Most societies and cultures have laws or taboos against marriages between close relatives • Cystic fibrosis is the most common lethal genetic disease in the United States,striking one out of every 2,500 people of European descent • The cystic fibrosis allele results in defective or absent chloride transport channels in plasma membranes • Symptoms include mucus buildup in some internal organs and abnormal absorption of nutrients in the small intestine • Sickle-cell disease affects one out of 400 African-Americans • The disease is caused by the substitution of a single amino acid in the hemoglobin protein in red blood cells • Symptoms include physical weakness, pain, organ damage, and even paralysis • Some human disorders are caused by dominant alleles • Dominant alleles that cause a lethal disease are rare and arise by mutation • Achondroplasia is a form of dwarfism caused by a rare dominant allele Parents Dwarf Dd Normal dd Sperm D d d Dd Dwarf dd Normal d Dd Dwarf dd Eggs Normal